Boyer-Finley equation and systems of hydrodynamic type
General Relativity and Quantum Cosmology
2022-05-04 v1
Abstract
We reduce Boyer-Finley equation to a family of compatible systems of hydrodynamic type, with characteristic speeds expressed in terms of spaces of rational functions. The systems of hydrodynamic type are then solved by the generalized hodograph method, providing solutions of the Boyer-Finley equation including functional parameters.
Keywords
Cite
@article{arxiv.gr-qc/0401118,
title = {Boyer-Finley equation and systems of hydrodynamic type},
author = {E. Ferapontov and D. Korotkin and V. Shramchenko},
journal= {arXiv preprint arXiv:gr-qc/0401118},
year = {2022}
}